# Precalculus Examples

,

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Simplify each term.

Divide by .

Multiply by .

Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .

Simplify the left side.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

Multiply by .

Add and .

Move to the left of the expression .

Multiply by .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .

Solve for .

Multiply both sides of the equation by .

Simplify the right side.

Multiply by .

Multiply by .

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Divide by .

Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .

Simplify each term.

Divide by .

Multiply by .

Subtract from .

The solution can be shown in both point and equation forms.

Point Form:

Equation Form: